78355656288 has 768 divisors, whose sum is σ = 292084531200. Its totient is φ = 19886653440.

The previous prime is 78355656257. The next prime is 78355656299. The reversal of 78355656288 is 88265655387.

78355656288 is a `hidden beast` number, since 7 + 8 + 3 + 5 + 565 + 62 + 8 + 8 = 666.

It is a super-2 number, since 2×78355656288² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 351370545 + ... + 351370767.

It is an arithmetic number, because the mean of its divisors is an integer number (380318400).

Almost surely, 2^78355656288 is an apocalyptic number.

78355656288 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78355656288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146042265600).

78355656288 is an abundant number, since it is smaller than the sum of its proper divisors (213728874912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78355656288 is a wasteful number, since it uses less digits than its factorization.

78355656288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

Subtracting 78355656288 from its reverse (88265655387), we obtain a palindrome (9909999099).

The spelling of 78355656288 in words is "seventy-eight billion, three hundred fifty-five million, six hundred fifty-six thousand, two hundred eighty-eight".